Redknapp wrote in his column for the Daily Mail that perhaps Luiz, as talented as he is, is not a good fit for the way Jose Mourinho usually likes to play in the Premier League.
"His ideal is a goalkeeper, four defenders and a midfield holder and then the rest are told: 'You go and win us the match.'
"Luiz wants to play all the time. Yes, he has excellent technical ability and may even be the best ball-playing central defender in the world.
"He has won a Champions League and may well win a World Cup with Brazil. But in the Premier League he is a liability for his team and too much of a maverick.
"He is certainly better suited to the Champions League and I wonder if Jose will use him more in Europe and will rest Terry, with Gary Cahill and Terry preferred in the league. It seems the best solution judging by what happened at Goodison."